Finding the Third Proportional to 36,379.13 and 77,162.63

Step by Step Solution

1. Step 1: Write the proportion equation
   36,379.13 : 77,162.63 = 77,162.63 : x
2. Step 2: Convert to fraction form
   36,379.13/77,162.63 = 77,162.63/x
3. Step 3: Cross multiply
   36,379.13x = 77,162.63 × 77,162.63
4. Step 4: Simplify right side
   36,379.13x = 5,954,070,696.89
5. Step 5: Solve for x
   x = 5,954,070,696.89/36,379.13
6. Step 6: Final answer
   x = 163,667.23